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Twisted K-theory and loop group representations

Daniel S. Freed·Michael J. Hopkins·Constantin Teleman
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Abstract

This is the third paper of a series relating the equivariant twisted $K$-theory of a compact Lie group $G$ to the ``Verlinde space'' of isomorphism classes of projective lowest-weight representations of the loop groups. Here, we treat arbitrary compact Lie groups. In addition, we discuss the relation to semi-infinite cohomology, the fusion product of Conformal Field theory, the rôle of energy and the topological Peter-Weyl theorem.

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BibTeXRIS

Daniel S. Freed, Michael J. Hopkins, Constantin Teleman. 2005-11-11. Twisted K-theory and loop group representations. https://arxiv.org/abs/math/0312155

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